Inverse of m(x)=2x+8

Question

asked Jul 17, 2024 198k views

1 Answer

Egalth · Answer 1 · 2024-07-22T12:42:06+0000

The inverse of the function m(x) = 2x + 8 is m^-1(x) = (x - 8) / 2.

The inverse of the function m(x) = 2x + 8 can be found by swapping the x and y variables and solving for y.

Let's start by writing the original function: y = 2x + 8.

Now to find the inverse, we swap x and y to get x = 2y + 8.

Next, solve the equation for y:

Subtract 8 from both sides of the equation: x - 8 = 2y.

Divide both sides by 2: (x - 8) / 2 = y.

So, the inverse of m(x) = 2x + 8 is m-1(x) = (x - 8) / 2.